I put the asterisk in my morning message, but forgot to post the footnote. It is this:
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*Note that the Top-5000 cutoff plane will pass exactly 1,000,000 bits today or tomorrow. For the record, right now it is still at 999,400 bits' size, but the 1,290,000-bits abominable primes keep on pouring in. Mark my words Next state of the Top5000 database will be that all primes from position ~1,500 to 5,000 will be ~1,290,000 bits.

*Note that the Top-5000 cutoff plane will pass exactly 1,000,000 bits today or tomorrow. For the record, right now it is still at 999,400 bits' size, but the 1,290,000-bits abominable primes keep on pouring in. Mark my words Next state of the Top5000 database will be that all primes from position ~1,500 to 5,000 will be ~1,290,000 bits.

...and here's the snapshot of sizes. Observe the plateau at k*2^1290000-1 (388290+a few digits); it will grow longer and then will take over the whole end of the list. As a corollary, after it will happen, the apparent rate of the last Top5000 number's size progression ("to the next 10000") will stop for maybe a year.

...and here's the snapshot of sizes. Observe the plateau at k*2^1290000-1 (388290+a few digits); it will grow longer and then will take over the whole end of the list. As a corollary, after it will happen, the apparent rate of the last Top5000 number's size progression ("to the next 10000") will stop for maybe a year.

I think the list would be better, if primes with the same number of digits/bits were given the same rank and primes up to a rank of 5000 were stored on the list.

...and here's the snapshot of sizes. Observe the plateau at k*2^1290000-1 (388290+a few digits); it will grow longer and then will take over the whole end of the list. As a corollary, after it will happen, the apparent rate of the last Top5000 number's size progression ("to the next 10000") will stop for maybe a year.

Today will be the day when the half-twins took over the bottom ~1/e of the Top 5000.
Primes in positions 3188-5000 will now most likely simply squeeze smaller k's replacing with slightly larger, keeping the plateau almost unchanged.

Today will be the day when the half-twins took over the bottom ~1/e of the Top 5000.
Primes in positions 3188-5000 will now most likely simply squeeze smaller k's replacing with slightly larger, keeping the plateau almost unchanged.

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